In today's educational landscape, students increasingly seek to grasp basic understanding of mathematical concepts. It is imperative that teaching approaches evolve to meet this demand, especially in the realm of ...
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In today's educational landscape, students increasingly seek to grasp basic understanding of mathematical concepts. It is imperative that teaching approaches evolve to meet this demand, especially in the realm of mathematics where there is a gap between understanding the theory and applying its relevant techniques. This paper focuses on addressing the challenges students face when learning calculus, particularly the L'Hopital's Rule. While students may learn how to apply it, many lack a fundamental understanding of its origins, missing the crucial"why" behind its application. The primary objective of this paper is to deepen students' understanding of L'Hopital's Rule by incorporating visualization and intuition techniques with mathematical approaches. We explore the background of L'Hopital's Rule and present three different ways to explain the essence of the rule by: a) "zooming-in" on the intersection of two functions, b) employing the Taylor Series, and c) utilizing Infinitesimal Calculus. By using these approaches, it becomes easier to grasp the essence of L'Hopital's Rule, which is about comparing how fast two functions change as they approach a particular point. Moreover, to provide a comprehensive perspective we share some practical textbook examples that highlight the applications of L'Hopital's Rule. This is followed by a real-life engineering problem that utilizes L'Hopital's Rule. To assess the effectiveness of the new approach for learning L'Hopital's Rule we conducted an in-class anonymous questionnaire. 58 students responded. The results clearly show that understanding the concept of L'Hopital's Rule is either important or very important to students. Most of them praised the visualization and intuition approach for teaching the rule. Even though we did not used activities and exercises, students felt that more hands-on activities and in-class exercises could be very helpful as well. In general, they liked traditional presentations, but were not as excit
Internet of Things(IoT)networks are characterized by a multitude of wireless,interconnected devices that can dynamically join or exit the network without centralized administration or fixed infrastructure for *** mult...
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Internet of Things(IoT)networks are characterized by a multitude of wireless,interconnected devices that can dynamically join or exit the network without centralized administration or fixed infrastructure for *** multipath routing in IoT networks can improve data transmission reliability and load balancing by establishing multiple paths between source and destination nodes,these networks are susceptible to security threats due to their wireless *** security solutions developed for conventional networks are often ill-suited to the unique challenges posed by IoT *** response to these challenges,this paper proposes the integration of the Ad hoc On-demand Multipath Distance Vector(AOMDV)routing protocol with a trust model to enhance network *** findings from this research demonstrate the successful fusion of AOMDV with a trust model,resulting in tangible improvements in network *** assessment of trustworthiness bolsters both security and routing capabilities in IoT *** trust model plays a crucial role in mitigating black hole attacks in IoT networks by evaluating the trustworthiness of nodes and helping in the identification and avoidance of malicious nodes that may act as black *** results validate the efficacy of the proposed trust-based routing mechanism in achieving its *** plays a pivotal role in decision-making and in the creation of secure distribution *** assessing the trustworthiness of nodes,both network security and routing efficiency can be *** effectiveness of the proposed trust-based routing mechanism is scrutinized through simulations,offering insights into its potential advantages in terms of improved network security and routing performance in the context of the IoT.
The problem of speech separation, also known as the cocktail party problem, refers to the task of isolating a single speech signal from a mixture of speech signals. Previous work on source separation derived an upper ...
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The impact of sea temperature (ST) variations on climate and ecosystems is profound, posing not only significant economic losses but also potential threats to life safety. Consequently, accurate ST prediction has beco...
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Nowadays, a large number of AI-powered healthcare cyber-physical systems (CPSs) have been used in healthcare services. In order to provide better care, AI-powered healthcare CPSs analyze the data they collect using a ...
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The increasing use of AI among students has significant implications for established practices across all disciplines. In the specific case of programming in computerscience (CS) education, we are observing a debate ...
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The increasing use of AI among students has significant implications for established practices across all disciplines. In the specific case of programming in computerscience (CS) education, we are observing a debate between the education system which sees AI-generated code as a threat to the learning's quality, and the industry, which expects professionals to best take advantage of AI-assisted programming. In this context, a successful mediation lies in fostering skills such as metacognition and reflective learning to bridge the academic and professional worlds. This paper reviews the literature on AI-assisted practices supporting metacognition and reflective learning. Drawing on this review and the findings from a prior pilot study run by us, we designed the Reflective AI Programming Lab (RAP Lab) where groups of three students collaborate to solve programming tasks using exclusively AI-generated code, with restricted queries and a set of constraints on a designated platform which logs all the interactions between students and the AI. The approach leverages AI-driven feedback and collaboration enhancing dialogical practices as Pair Programming and promoting the development of critical reflection on AI tools in CS. By having students explain in detail their reasoning and structure their solution strategies to a third party (AI), this intervention stimulates metacognition and reflective learning by offering a different perspective on problem solving. In fact, this approach promotes a deeper comprehension of the problem and forces students to clarify and refine their thoughts when articulating their solution strategy. AI serves as an impartial non-judgmental observer, allowing students to explore their mistakes without fear of embarrassment, encouraging a risk-free environment where they are more likely to experiment, learn from their errors, and engage in deeper reflective learning. Although this approach has yet to be validated, it will serve as the basis for more
The Internet of Vehicles(IoV)is a networking paradigm related to the intercommunication of vehicles using a *** a dynamic network,one of the key challenges in IoV is traffic management under increasing vehicles to avo...
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The Internet of Vehicles(IoV)is a networking paradigm related to the intercommunication of vehicles using a *** a dynamic network,one of the key challenges in IoV is traffic management under increasing vehicles to avoid ***,optimal path selection to route traffic between the origin and destination is *** research proposed a realistic strategy to reduce traffic management service response time by enabling real-time content distribution in IoV systems using heterogeneous network ***,this work proposed a novel use of the Ant Colony Optimization(ACO)algorithm and formulated the path planning optimization problem as an Integer Linear Program(ILP).This integrates the future estimation metric to predict the future arrivals of the vehicles,searching the optimal *** the mobile nature of IOV,fuzzy logic is used for congestion level estimation along with the ACO to determine the optimal *** model results indicate that the suggested scheme outperforms the existing state-of-the-art methods by identifying the shortest and most cost-effective ***,this work strongly supports its use in applications having stringent Quality of Service(QoS)requirements for the vehicles.
Focus of this study is to investigate the nuanced world of emotions in English-translated Tamil literature through the lens of sentiment analysis. The dataset consists of poems expressing a range of emotions including...
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Water is a vital *** supports a multitude of industries,civilizations,and ***,climatic conditions impact water availability,particularly in desert areas where the temperature is high,and rain is ***,it is crucial to f...
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Water is a vital *** supports a multitude of industries,civilizations,and ***,climatic conditions impact water availability,particularly in desert areas where the temperature is high,and rain is ***,it is crucial to forecast water demand to provide it to sectors either on regular or emergency *** study aims to develop an accurate model to forecast daily water demand under the impact of climatic *** forecasting is known as a multivariate time series because it uses both the historical data of water demand and climatic conditions to forecast the *** on the collected data of Jeddah city,Saudi Arabia in the period between 2004 and 2018,we develop a hybrid approach that uses Artificial Neural Networks(ANN)for forecasting and Particle Swarm Optimization algorithm(PSO)for tuning ANNs’*** on the Root Mean Square Error(RMSE)metric,results show that the(PSO-ANN)is an accurate model for multivariate time series ***,the first day is the most difficult day for prediction(highest error rate),while the second day is the easiest to predict(lowest error rate).Finally,correlation analysis shows that the dew point is the most climatic factor affecting water demand.
This paper proposes a new solution for USB Type-C power delivery (PD) chargers. This solution mainly adopts the integrated circuit (IC) AT6201Z designed by ATK. This IC has a multi-mode control strategy, which uses th...
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